Stabilizability of minimum-phase systems with colored multiplicative uncertainty
Junhui Li
Jieying Lu
Weizhou Su
School of Automation Science and Engineering,South China University of Technology,Wushan,Guangzhou 510641,Guangdong,China
摘要：This work addresses the mean-square stability and stabilizability problem for minimum-phase multi-input and multi-output (MIMO) plant with a novel colored multiplicative feedback uncertainty. The proposed uncertainty is generalization of the i.i.d. multiplicative noise and assumed to be a stochastic system with random finite impulse response (FIR), which has advantage on modeling a class of network phenomena such as random transmission delays. A concept of coefficient of frequency variation is developed to characterize the proposed uncertainty. Then, the mean-square stability for the system is derived, which is a generalization of the well-known mean-square small gain theorem. Based on this, the mean-square stabilizability condition is established, which reveals the inherent connection between the stabilizability and the plant's unstable poles and the coefficient of frequency variation of the uncertainty. The result is verified by a numerical example on the stabilizability of a networked system with random transmission delay as well as analog erasure channel.
机标关键词：coloredsystemswithminimum-phasemultiplicativestabilizabilityuncertainty
论文发表日期：2022-08-05
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：10( 382-391 )
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